Geometry and phase transitions in colloids and polymers /:
This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structure...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co.,
©2009.
|
| Schriftenreihe: | World Scientific lecture notes in physics ;
v. 79. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions. |
| Beschreibung: | 1 online resource (xxii, 191 pages) : illustrations (some color) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789812834973 9812834974 |
Internformat
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| 490 | 1 | |a World Scientific lecture notes in physics ; |v v. 79 | |
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| 505 | 0 | |a The big picture. 1. Modern physics at a glance -- Geometry and phase transitions, in general. 2. Phase transitions and critical phenomena. 2.1. Introduction. 2.2. Modern classification of phase transitions. 2.3. First-order phase transitions: solid-liquid transition. 2.4. Second-order phase transitions: scaling and universality. 2.5. Renormalization group. 2.6. Mathematical miscellanies: semi-group structure and fixed-point theorems. 2.7. Conclusion. 3. Overview of density-functional theory. 3.1. Introduction. 3.2. Electronic density-functional theory. 3.3. Classical density-functional theory. 3.4. Conclusion. 4. Survey of solid geometry and topology. 4.1. Introduction. 4.2. Lattice symmetry groups. 4.3. Two-dimensional space groups. 4.4. Three-dimensional point groups. 4.5. Conceptual framework of the foam model. 4.6. The Kelvin Problem and the Kepler conjecture. 4.7. Conclusion -- Geometry and phase transitions, in colloidal crystals. 5. Lattice free energy via the foam model. 5.1. Introduction. 5.2. Bulk free energy. 5.3. Interfacial free energy. 5.4. Conclusion. 6. Phases of charged colloidal crystals. 6.1. Introduction. 6.2. Phase transitions of charged colloids. 6.3. Foam analogy and charged colloids. 6.4. Conclusion. 7. Elasticity of colloidal crystals. 7.1. Introduction. 7.2. Foam analogy and cubic elastic constants. 7.3. Elasticity of charged colloidal crystals. 7.4. Elasticity of fuzzy colloids. 7.5. Conclusion -- Geometry and phase transitions, in topologically constrained polymers. 8. Topologically-constrained polymers in theta solution. 8.1. Introduction. 8.2. O(N)-symmetric ø[symbol]-theory. 8.3. Chern-Simons theory and Writhe. 8.4. One-loop scaling of closed polymers. 8.5. Two-loop results. 8.6. Conclusion -- Summary. 9. Final thoughts. | |
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| 650 | 0 | |a Phase-transfer catalysts. |0 http://id.loc.gov/authorities/subjects/sh86006132 | |
| 650 | 6 | |a Transitions de phase. | |
| 650 | 6 | |a Cristaux colloïdaux. | |
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| contents | The big picture. 1. Modern physics at a glance -- Geometry and phase transitions, in general. 2. Phase transitions and critical phenomena. 2.1. Introduction. 2.2. Modern classification of phase transitions. 2.3. First-order phase transitions: solid-liquid transition. 2.4. Second-order phase transitions: scaling and universality. 2.5. Renormalization group. 2.6. Mathematical miscellanies: semi-group structure and fixed-point theorems. 2.7. Conclusion. 3. Overview of density-functional theory. 3.1. Introduction. 3.2. Electronic density-functional theory. 3.3. Classical density-functional theory. 3.4. Conclusion. 4. Survey of solid geometry and topology. 4.1. Introduction. 4.2. Lattice symmetry groups. 4.3. Two-dimensional space groups. 4.4. Three-dimensional point groups. 4.5. Conceptual framework of the foam model. 4.6. The Kelvin Problem and the Kepler conjecture. 4.7. Conclusion -- Geometry and phase transitions, in colloidal crystals. 5. Lattice free energy via the foam model. 5.1. Introduction. 5.2. Bulk free energy. 5.3. Interfacial free energy. 5.4. Conclusion. 6. Phases of charged colloidal crystals. 6.1. Introduction. 6.2. Phase transitions of charged colloids. 6.3. Foam analogy and charged colloids. 6.4. Conclusion. 7. Elasticity of colloidal crystals. 7.1. Introduction. 7.2. Foam analogy and cubic elastic constants. 7.3. Elasticity of charged colloidal crystals. 7.4. Elasticity of fuzzy colloids. 7.5. Conclusion -- Geometry and phase transitions, in topologically constrained polymers. 8. Topologically-constrained polymers in theta solution. 8.1. Introduction. 8.2. O(N)-symmetric ø[symbol]-theory. 8.3. Chern-Simons theory and Writhe. 8.4. One-loop scaling of closed polymers. 8.5. Two-loop results. 8.6. Conclusion -- Summary. 9. Final thoughts. |
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| discipline | Physik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:17:11Z |
| institution | BVB |
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| series | World Scientific lecture notes in physics ; |
| series2 | World Scientific lecture notes in physics ; |
| spelling | Kung, William. https://id.oclc.org/worldcat/entity/E39PCjyYrJ6Bh4bhTDWhGRqD4m http://id.loc.gov/authorities/names/n2009020881 Geometry and phase transitions in colloids and polymers / William Kung. Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2009. 1 online resource (xxii, 191 pages) : illustrations (some color) text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific lecture notes in physics ; v. 79 Includes bibliographical references and index. The big picture. 1. Modern physics at a glance -- Geometry and phase transitions, in general. 2. Phase transitions and critical phenomena. 2.1. Introduction. 2.2. Modern classification of phase transitions. 2.3. First-order phase transitions: solid-liquid transition. 2.4. Second-order phase transitions: scaling and universality. 2.5. Renormalization group. 2.6. Mathematical miscellanies: semi-group structure and fixed-point theorems. 2.7. Conclusion. 3. Overview of density-functional theory. 3.1. Introduction. 3.2. Electronic density-functional theory. 3.3. Classical density-functional theory. 3.4. Conclusion. 4. Survey of solid geometry and topology. 4.1. Introduction. 4.2. Lattice symmetry groups. 4.3. Two-dimensional space groups. 4.4. Three-dimensional point groups. 4.5. Conceptual framework of the foam model. 4.6. The Kelvin Problem and the Kepler conjecture. 4.7. Conclusion -- Geometry and phase transitions, in colloidal crystals. 5. Lattice free energy via the foam model. 5.1. Introduction. 5.2. Bulk free energy. 5.3. Interfacial free energy. 5.4. Conclusion. 6. Phases of charged colloidal crystals. 6.1. Introduction. 6.2. Phase transitions of charged colloids. 6.3. Foam analogy and charged colloids. 6.4. Conclusion. 7. Elasticity of colloidal crystals. 7.1. Introduction. 7.2. Foam analogy and cubic elastic constants. 7.3. Elasticity of charged colloidal crystals. 7.4. Elasticity of fuzzy colloids. 7.5. Conclusion -- Geometry and phase transitions, in topologically constrained polymers. 8. Topologically-constrained polymers in theta solution. 8.1. Introduction. 8.2. O(N)-symmetric ø[symbol]-theory. 8.3. Chern-Simons theory and Writhe. 8.4. One-loop scaling of closed polymers. 8.5. Two-loop results. 8.6. Conclusion -- Summary. 9. Final thoughts. This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions. Print version record. Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Colloidal crystals. http://id.loc.gov/authorities/subjects/sh95004743 Phase-transfer catalysts. http://id.loc.gov/authorities/subjects/sh86006132 Transitions de phase. Cristaux colloïdaux. Catalyseurs par transfert de phase. SCIENCE Physics Condensed Matter. bisacsh Colloidal crystals fast Phase-transfer catalysts fast Phase transformations (Statistical physics) fast World Scientific (Firm) http://id.loc.gov/authorities/names/no2001005546 has work: Geometry and phase transitions in colloids and polymers (Text) https://id.oclc.org/worldcat/entity/E39PCGGq7TFv3VBBQbGXPJPgmm https://id.oclc.org/worldcat/ontology/hasWork 9789812834966 World Scientific lecture notes in physics ; v. 79. http://id.loc.gov/authorities/names/n84715132 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305232 Volltext |
| spellingShingle | Kung, William Geometry and phase transitions in colloids and polymers / World Scientific lecture notes in physics ; The big picture. 1. Modern physics at a glance -- Geometry and phase transitions, in general. 2. Phase transitions and critical phenomena. 2.1. Introduction. 2.2. Modern classification of phase transitions. 2.3. First-order phase transitions: solid-liquid transition. 2.4. Second-order phase transitions: scaling and universality. 2.5. Renormalization group. 2.6. Mathematical miscellanies: semi-group structure and fixed-point theorems. 2.7. Conclusion. 3. Overview of density-functional theory. 3.1. Introduction. 3.2. Electronic density-functional theory. 3.3. Classical density-functional theory. 3.4. Conclusion. 4. Survey of solid geometry and topology. 4.1. Introduction. 4.2. Lattice symmetry groups. 4.3. Two-dimensional space groups. 4.4. Three-dimensional point groups. 4.5. Conceptual framework of the foam model. 4.6. The Kelvin Problem and the Kepler conjecture. 4.7. Conclusion -- Geometry and phase transitions, in colloidal crystals. 5. Lattice free energy via the foam model. 5.1. Introduction. 5.2. Bulk free energy. 5.3. Interfacial free energy. 5.4. Conclusion. 6. Phases of charged colloidal crystals. 6.1. Introduction. 6.2. Phase transitions of charged colloids. 6.3. Foam analogy and charged colloids. 6.4. Conclusion. 7. Elasticity of colloidal crystals. 7.1. Introduction. 7.2. Foam analogy and cubic elastic constants. 7.3. Elasticity of charged colloidal crystals. 7.4. Elasticity of fuzzy colloids. 7.5. Conclusion -- Geometry and phase transitions, in topologically constrained polymers. 8. Topologically-constrained polymers in theta solution. 8.1. Introduction. 8.2. O(N)-symmetric ø[symbol]-theory. 8.3. Chern-Simons theory and Writhe. 8.4. One-loop scaling of closed polymers. 8.5. Two-loop results. 8.6. Conclusion -- Summary. 9. Final thoughts. Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Colloidal crystals. http://id.loc.gov/authorities/subjects/sh95004743 Phase-transfer catalysts. http://id.loc.gov/authorities/subjects/sh86006132 Transitions de phase. Cristaux colloïdaux. Catalyseurs par transfert de phase. SCIENCE Physics Condensed Matter. bisacsh Colloidal crystals fast Phase-transfer catalysts fast Phase transformations (Statistical physics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85100646 http://id.loc.gov/authorities/subjects/sh95004743 http://id.loc.gov/authorities/subjects/sh86006132 |
| title | Geometry and phase transitions in colloids and polymers / |
| title_auth | Geometry and phase transitions in colloids and polymers / |
| title_exact_search | Geometry and phase transitions in colloids and polymers / |
| title_full | Geometry and phase transitions in colloids and polymers / William Kung. |
| title_fullStr | Geometry and phase transitions in colloids and polymers / William Kung. |
| title_full_unstemmed | Geometry and phase transitions in colloids and polymers / William Kung. |
| title_short | Geometry and phase transitions in colloids and polymers / |
| title_sort | geometry and phase transitions in colloids and polymers |
| topic | Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Colloidal crystals. http://id.loc.gov/authorities/subjects/sh95004743 Phase-transfer catalysts. http://id.loc.gov/authorities/subjects/sh86006132 Transitions de phase. Cristaux colloïdaux. Catalyseurs par transfert de phase. SCIENCE Physics Condensed Matter. bisacsh Colloidal crystals fast Phase-transfer catalysts fast Phase transformations (Statistical physics) fast |
| topic_facet | Phase transformations (Statistical physics) Colloidal crystals. Phase-transfer catalysts. Transitions de phase. Cristaux colloïdaux. Catalyseurs par transfert de phase. SCIENCE Physics Condensed Matter. Colloidal crystals Phase-transfer catalysts |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305232 |
| work_keys_str_mv | AT kungwilliam geometryandphasetransitionsincolloidsandpolymers AT worldscientificfirm geometryandphasetransitionsincolloidsandpolymers |